1997/09/16 by Viktor Prasolov, Yuri Solovyev · 5 citations
Mathematics · #Mathematics and Applications #History and Theory of Mathematics #Algebraic Geometry and Number Theory #Quarter period #Elliptic integral #Elliptic function #Jacobi elliptic functions #Mathematics #Elliptic rational functions #Elliptic curve #Supersingular elliptic curve #Quintic function #Schoof's algorithm #Nome #Division (mathematics) #Mathematical analysis #Algebraic geometry #Algebra over a field #Pure mathematics #Physics #Nonlinear system #Arithmetic
paper · doi:10.1090/mmono/170
openalex publication_date 1997/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/21
This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis.